All categories

3 years ago

Find the equation of the line through the points (9,−2) and (1,6).

Mathematics

1 answer:

devlian [24]3 years ago

8 0

Answer: y=-x+7

Step-by-step explanation:

Answer:

Your given points: (9,-2)and (1,6)

x1=9

y1=-2

x2=1

y2=6

Step-by-step explanation:

To find slope take the points you got from graph and put it into the equation y2-y1/x2-x1

6-(-2)/1-9=6+2/1-9=8/-8=-1

SLOPE IS m=-1

Then take that slope u got and plug into this equation to find equation of the line

y-y1=m(x-x1)

y-(-2)=-1(x-9)

y+2=-x+9

-2. -2

——————

y=-x+7 ANSWER CHECK

You might be interested in

Sally had 1000 photos to put into a photo album.She set 10 photos aside to place in frames.If her photo album fits 3 photos per

Kruka [31]

Answer:

Sally needed 330 pages of album to place her photos in it.

Step-by-step explanation:

Given:

Total number of photos = 1000

Number of photos kept aside to be place in frame = 10

Number of photos in per page of album = 3

We need to find the number of pages needed to place the photos in album.

Solution:

First we will find the number of photos to be place in album.

Now we know that she kept aside some photos which has to be frame framed.

So number of photos to be place in album can be calculated by Subtracting Number of photos kept aside to be place in frame from Total number of photos

framing in equation form we get;

number of photos to be place in album = 1000 - 10 = 990 photos

Now we will find number of pages needed to place the photos in the album.

number of pages needed to place the photos in the album can be calculated by dividing number of photos to be place in album with number of photos in per page of album.

framing in equation form we get;

number of pages needed to place the photos in the album = $\frac{990}{3}= 330\ pages.$

Hence Sally needed 330 pages of album to place her photos in it.

6 0

3 years ago

Can someone tell me if I did this right? If it's wrong can you tell me how to do it step by step? Thanks

Lesechka [4]

Hi there!

So first off, here are little definitions you need to know in order to be able to answer your question :

<u>Constant</u> means that the rates of change are the same.

<u>Variable</u> means that the rates of change are different.

But from what I can see, you don't even need those definitions because you got both answers right!

Continue your great work! If there's anything just let me know! :)

6 0

3 years ago

42 percent of 120 is what

Sedbober [7]

It's 120*0.42 = 50.4 so 50.4 is the answer

5 0

3 years ago

Read 2 more answers

Please explain I really need help

velikii [3]

Answer:

1. 1343 years

2. 9 hours

3. 39 years

Step-by-step explanation:

1. Given, half-life of carbon = 5730 years.

∴ λ = 0.693/half-life of carbon = 0.693/5730 = 0.000121

If N₀ = 100 then N = 85

Formula:- N = N₀*e^(-λt)

∴ 85 = 100 * e^(-0.000121t)

∴㏑(-0.85)=-0.000121t

∴ t = 1343 years

2. Given half-life of aspirin = 12 hours

λ = 0.693/12 = 0.5775

Also N₀ = 100 then 70 will disintegrate and N = 30 will remain disintegrated.

∴ 70 = 100 *e^(-0.05775t)

0.70 = e^(-0.05775t)

㏑(0.70) = -0.05775t

∴ t = 9 hours

3. The population of the birds as as A=A₀*e^(kt)

Given that the population of birds fell from 1400 from 1000, We are asked how much time it will take for the population to drop below 100, let that be x years.

The population is 1400 when f = 0, And it is 1000 when f = 5

We can write the following equation :

1400 = 1000e^(5t).

∴1400/1000 = e^(5k)

∴ k = ㏑(1.4)/5

We need to find x such that 1400/100 = e^(xk)

14 = e^(xk)

∴ x = 39 years

5 0

3 years ago

Solve for x. Round to the nearest tenth, if necessary.

DENIUS [597]

Answer:

x=3.5 cm

Step-by-step explanation:

90/2 = 45 degrees

Soh Cah Toa

We have opposite and hypotenuse making sin.

Length×Sin(Angle)

5×Sin(45) = 3.53553cm

Rounded the the nearest tenth makes 3.5cm

6 0

3 years ago